Add 84/9 and 40/42
1st number: 9 3/9, 2nd number: 40/42
84/9 + 40/42 is 72/7.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 42 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 9 × 14 = 126,
84/9 = 84 × 14/9 × 14 = 1176/126 - Likewise, for the 2nd fraction, since 42 × 3 = 126,
40/42 = 40 × 3/42 × 3 = 120/126 - Add the two like fractions:
1176/126 + 120/126 = 1176 + 120/126 = 1296/126 - 1296/126 simplified gives 72/7
- So, 84/9 + 40/42 = 72/7
In mixed form: 102/7
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